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East Tennessee State University
Cyclic, f-Cyclic, and Bicyclic Decompositions of the Complete Graph into the 4-Cycle with a Pendant Edge.
Abstract
dc:description.abstract<p>In this paper, we consider decompositions of the complete graph on <em>v</em> vertices into 4-cycles with a pendant edge. In part, we will consider decompositions which admit automorphisms consisting of:</p><p>(1) a single cycle of length <em>v</em>,</p><p>(2) <em>f</em> fixed points and a cycle of length <em>v</em> − <em>f</em>, or</p><p>(3) two disjoint cycles.</p><p>The purpose of this thesis is to give necessary and sufficient conditions for the existence of cyclic, <em>f</em>-cyclic, and bicyclic <em>Q</em>-decompositions of <em>K<sub>v</sub></em>.</p>
Degree
thesis:*- Name thesis:degree_name
- MS (Master of Science)
- Level thesis:degree_level
- Thesis - unrestricted
- Discipline thesis:degree_discipline
- Mathematical Sciences
- Year dc:date.issued
- 2009
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Cantrell, Daniel Shelton
Subjects
dc:subject × 7Rights
dc:rights- Statement dc:rights
-
- Copyright by the authors.
Identifiers
dc:identifier.*- Repository record dc:identifier
- https://dc.etsu.edu/etd/1872
- OAI identifier oai:identifier
- oai:dc.etsu.edu:etd-3224